We propose a generalization of Verbitsky's global Torelli theorem in the framework of compact Kähler irreducible holomorphically symplectic orbifolds by adapting Huybrechts' proof [17]. As intermediate step needed, we also provide a generalization of the twistor space and the projectivity criterion based on works of Campana [8] and Huybrechts [21] respectively.

中文翻译：

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不可约辛圆的全局Torelli定理

我们通过适应Huybrechts的证明[17]，提出了在紧的Kähler不可约全纯辛圆球框架下对Verbitsky全局Torelli定理的推广。作为所需的中间步骤，我们还分别基于Campana [8]和Huybrechts [21]的工作提供了捻线空间的一般化和射影准则。